The framework is static-patch (SP) holography [1]}[2]}. The assumption is that there exists a unitary Hamiltonian quantum mechanics of a de Sitter static-patch in which the degrees of freedom are located on the stretched horizon. We begin by considering the roles of entanglement, chaos, and complexity, and derive necessary requirements—very different from those for AdS—for a quantum system to be dual to de Sitter space. We will see that these requirements are met by a non-standard, but perfectly definite limit of the SYK system. Quantum-simulating the system should be no harder than simulating SYK in the usual range of parameters.
